Problem 2: For an ASTM 30 cast iron (From Table A-24, Sut = 31 kpsi, Sut = 109 kpsi), find the factors of safety using the BCM and MM theories:
Ox=-10 kpsi, oy = -25 kpsi, Txy = -10 kpsi
Answers
The factor of safety using the Brittle Coulomb-Mohr (BCM) theory for the ASTM 30 cast iron is 6.2, indicating a higher safety margin against failure. The factor of safety using the Maximum Shear Stress (MSS) theory is 2.48, suggesting a lower safety margin.
To determine the factors of safety using the Brittle Coulomb-Mohr (BCM) and Maximum Shear Stress (MSS) theories, we need to compare the maximum principal stress and maximum shear stress to the ultimate tensile strength of the ASTM 30 cast iron.
Given:
Sut = 31 kpsi (ultimate tensile strength)
Stresses:
Ox = -10 kpsi (normal stress in the x-direction)
Oy = -25 kpsi (normal stress in the y-direction)
Txy = -10 kpsi (shear stress)
Brittle Coulomb-Mohr (BCM) Theory:
The BCM theory assumes that the material fails when the maximum principal stress reaches the ultimate tensile strength.
The maximum principal stress (σ1) can be calculated using the formula:
σ1 = (Ox + Oy) / 2 + √[((Ox - Oy) / 2)² + Txy²]
Substituting the given values:
σ1 = (-10 + (-25)) / 2 + √[((-10 - (-25)) / 2)² + (-10)²]
= -17.5 + √[(7.5)² + 100]
= -17.5 + √[56.25 + 100]
= -17.5 + √[156.25]
= -17.5 + 12.5
= -5 kpsi
The factor of safety (FS) for the BCM theory is calculated as:
FS = Sut / |σ1|
Substituting the values:
FS = 31 kpsi / |-5 kpsi|
= 31 kpsi / 5 kpsi
= 6.2
Therefore, the factor of safety using the BCM theory is 6.2.
Maximum Shear Stress (MSS) Theory:
The MSS theory assumes that the material fails when the maximum shear stress reaches the ultimate tensile strength.
The maximum shear stress (τmax) can be calculated using the formula:
τmax = √[(Ox - Oy) / 2]² + Txy²
Substituting the given values:
τmax = √[((-10 - (-25)) / 2)² + (-10)²]
= √[(15 / 2)² + 100]
= √[(7.5)² + 100]
= √[56.25 + 100]
= √[156.25]
= 12.5 kpsi
The factor of safety (FS) for the MSS theory is calculated as:
FS = Sut / τmax
Substituting the values:
FS = 31 kpsi / 12.5 kpsi
= 2.48
Therefore, the factor of safety using the MSS theory is 2.48.
Factor of Safety (BCM theory): 6.2
Factor of Safety (MSS theory): 2.48
The factor of safety represents the safety margin against failure. A higher factor of safety indicates a greater margin of safety. In this case, the BCM theory provides a higher factor of safety compared to the MSS theory, suggesting a more conservative design approach.
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Related Questions
Anybody know anything?
Answers
Answer:
1. Be sure to use the correct type and size of screwdriver on every kind of screw to avoid injury to yourself or damage to equipment.
2. It is also unsafe to carry screwdrivers in pockets or to use them around moving machinery.
3. Screwdrivers are not safe to use as hammers or chisels or for prying.
Explanation:
The question of the course called Information Theory and Learning is explained in the visual, can you please do the solution in an explanatory and simple way?
Answers
The python code that estimates pi using a given text is shown below
Python code to estimate pi using a given textA Python code to estimate pi using the given text where comments (#) are used for explanatory purpose is as follows:
import string
# read the text file
with open('text.txt', 'r') as file:
text = file.read()
# convert all uppercase letters to lowercase
text = text.lower()
# remove all characters that are not in the alphabet Ax
text = ''.join(filter(lambda x: x in string.ascii_lowercase + ' ', text))
# create the character vector x
x = list(text)
# calculate the frequency of each letter
freq = {}
for letter in string.ascii_lowercase:
freq[letter] = x.count(letter) / len(x)
# print the estimated pi for each letter
for letter in string.ascii_lowercase:
print(f"p({letter}) = {freq[letter]}")
Note that you need to replace text.txt with the name of the text file that contains the text you want to parse.
This code reads the text file, converts all uppercase letters to lowercase, removes all characters that are not in the alphabet Ax, and creates the character vector x.
Then it calculates the frequency of each letter in x and prints the estimated pi for each letter.
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Tyler is developing a robot that can be sent into war zones to ensure that any mines have been detonated before soldiers are sent into the area. The government is requiring a full scale model of this robot before it is willing to purchase one
Answers
The reason a prototype is necessary before committing to a purchase in this scenario is that the robot might be very expensive.
What is a prototype?In Engineering, a prototype can be defined as a rudimentary (early) model, release, or sample of a particular product, so as to avail the developers and manufacturers an opportunity and ability to test a concept, functionality, or process within it.
This ultimately implies that, the main purpose of the prototype of a robot is to determine and show whether or not the robot and all of its features are in tandem with the design specifications and market requirements.
In this context, we can reasonably infer and logically deduce that the government requested for a full scale model of the robot before it would purchase one because it is most likely to be very expensive.
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Complete Question:
Tyler is developing a robot that can be sent into war zones to ensure that any mines have been detonated before soldiers are sent into the area. The government is requiring a full-scale model of this robot before it is willing to purchase one.
What explains why a prototype is necessary before committing to a purchase in the following scenario?
3 To improve the acoustics in auditorium, a sound reflector with mass
of 200 kg is suspended by a chain from the ceiling. What is its
weight? What force (magnitude and direction) does the chain exert
on it? What is the tension in the chain? Assume that the mass of the
chain itself is negligible.
Answers
To improve the acoustics in auditorium, a sound reflector with mass of 200 kg is suspended by a chain from the ceiling thus thet force (magnitude and direction) does the chain exert on it =1960 N.
What is Newton's third regulation?
Ths 0.33 regulation states that for each movement (pressure) in nature there's an identical and contrary response. If item A exerts a pressure on item B, item B additionally exerts an identical and contrary pressure on item A. In different words, forces end result from interactions.
Weight of reflector = mg=200^ * 9.8=1960 NForce exerted with the aid of using chain =1960 NDirection = upwardsTension at the chain = weight of reflector=1960 NWeight of reflector =mg =100 * 9.8=980NMagniyof pressure reflector exerts on earth = 980 N(Due to movement response pair of forces, consistent with Newton's 0.33 regulation of motion.Read more about the Newton's law:
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Consider a condenser in which steam at a specified temperature is condensed by rejecting heat to the cooling water. If the heat transfer rate in the condenser and the temperature rise of the cooling water is known, explain how the rate of condensation of the steam and the mass flow rate of the cooling water can be determined. Also, explain how the total thermal resistance R of this condenser can be evaluated in this case.
Answers
Answer:
Q = [ mCp ( ΔT) ] \(_{cooling water }\)
(ΔT)\(_{cooling water}\) and Q is given
\(m_{cooling water}\) = \(\frac{Q}{Cp[ T_{out} - T_{in} ] }\)
next the rate of condensation of the steam
Q = [ m\(h_{fg}\) ]\(_{steam}\)
\(m_{steam} = \frac{Q}{h_{fg} }\)
Total resistance of the condenser is
R = \(\frac{Q}{change in T_{cooling water } }\)
Explanation:
How will the rate of condensation of the steam and the mass flow rate of the cooling water can be determined
Q = [ mCp ( ΔT) ] \(_{cooling water }\)
(ΔT)\(_{cooling water}\) and Q is given
\(m_{cooling water}\) = \(\frac{Q}{Cp[ T_{out} - T_{in} ] }\)
next the rate of condensation of the steam
Q = [ m\(h_{fg}\) ]\(_{steam}\)
\(m_{steam} = \frac{Q}{h_{fg} }\)
Total resistance of the condenser is
R = \(\frac{Q}{change in T_{cooling water } }\)
The rafter is fastened to the outside wall so that the plumb cut in the birdsmouth is tight to the exterior wall sheathing
Select one:
O True
O False
Answers
there are essentially two main types of tables in hive including _____ tables and ______ tables (please select the two words that can be used to fill in the blanks)
Answers
There are essentially two main types of tables in hive including Managed tables and External tables.
The two main types of tables in Hive are:-
1. Managed tables: These tables are managed by Hive, and the data is stored in Hive's default file format, which is ORC format. They are physically stored in the Hadoop Distributed File System (HDFS) directory specified by the user. Managed tables are created using the `CREATE TABLE` statement, and they are dropped using the `DROP TABLE` statement.
2. External tables: An external table is a table that is not managed by Hive, and it is linked to data that is stored in a file or directory in HDFS. The data stored in external tables is generally stored in any Hadoop-supported file format, such as ORC, Parquet, CSV, or Avro.
External tables are created using the `CREATE EXTERNAL TABLE` statement, and they are dropped using the `DROP TABLE` statement. Therefore, the two words that can be used to fill in the blanks in the given question are Managed and External.
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Cruise Business Case: Part 1 The specialty cruise has a pirate theme and goes on fun missions. Cruise members become part of the crew. Use the following business rules for the cruise database: Each employee (cruise members and captain) have unique IDs. • There are two types of employees: crew and captain. You cannot be a crew member and a captain. • Only captains have a parrot • Each ship has at least 40 crew members • Each mission has a unique mission number with one or more ships • Provide all appropriate connectors. Employee Ships Employeeld EmployeeLastName Employee FirstName ShipID 2 ShipID ShipName ShipDescription 3 1 Ships Missions ShipID MissionID 4 Captain Crew ParrotID Employeeld ParrotName Parrot Color DependentID Employeeld DependentFirstName Missions MissionID Mission Name ScheduledDate QuotedPrice
Answers
Here is the ER diagram for the Cruise Business Case:
+-------------+ +-------------+
| Employee | | Ships |
+-------------+ +-------------+
| EmployeeID | | ShipID |
| LastName | | ShipName |
| FirstName | | Description |
| Type | +-------------+
| ParrotID |<---------| Crew |
+-------------+ +-------------+
| Captain |
| ParrotID |
+-------------+
+--------------+ +--------------+
| Parrot | | Dependents |
+--------------+ +--------------+
| ParrotID |<--------| DependentID |
| ParrotName | | FirstName |
| Color | | EmployeeID |
+--------------+ +--------------+
+--------------+ +-------------+
| Missions | | MissionShip |
+--------------+ +-------------+
| MissionID | | MissionID |
| MissionName | | ShipID |
| ScheduledDate| +-------------+
| QuotedPrice |
+--------------+
What is the explanation for the above response?
The tables and their relationships are as follows:
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1. Burning used oll on-site is one option for used oll recycling.
A) O True
B) O False
Answers
Answer:
false
Explanation:
burning a substance is not recycling it
Which of the following would be useful to the building of a skyscraper? (Select all that apply.)
steep grading
deep foundation
wide footing
large footprint
Answers
Answer:
steep grading
Explanation:
the farthest
What happens when one of 4 bulbs go out in a parallel circuit?; What happens when 3 bulbs are connected in parallel?; What happens when you add extra light bulbs to a parallel circuit?; What happens when another bulb is added in a series circuit with three bulbs?
Answers
When one of 4 bulbs goes out in a parallel circuit, the other three bulbs will remain lit.
What is parallel circuit?
The branches of a parallel circuit divide the current so that only a portion of it flows through each branch. The fundamental idea of a "parallel" connection, on the other hand, is that all components are connected across one another's leads. In a circuit with only parallel connections, there can never be more than two sets of electrically connected points. Due to these features, parallel circuits are a common choice for use in homes and with electrical equipment that has a dependable and efficient power supply. This is because they permit charge to pass across two or more routes. When one part of a circuit is broken or destroyed, electricity can still flow through the remaining portions of the circuit, distributing power evenly among several buildings.
When 3 bulbs are connected in parallel, they will all be lit at the same brightness. When you add extra light bulbs to a parallel circuit, the brightness of each bulb will decrease due to the increased resistance. When another bulb is added in a series circuit with three bulbs, the brightness of all the bulbs will decrease due to the increased resistance.
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FAT ASE O Safety and Foundat
All of the following statements regarding safety data sheets are true EXCEPT:
Select one:
O A. They should be consulted to learn how to use the product safely.
B. If you are using more than one product, consult the SDS of only one of the products.
C. They include information on chemical ingredients.
D. All new SDS should be in a uniform format.
a
Next page
Answers
Answer:
it should be A bc I took the test a while back
Which required network device is generally integrated in computers and laptops?
Answers
Answer: Also known as an Ethernet adapter, a network interface card (NIC) is a chip or circuit board that generally comes preinstalled on a computer or device.
Explanation: lmk if im right
when a flare connection leaks due to a bad flare what is the recommended repair
Answers
When a flare connection leaks due to a bad flare, the recommended repair involves carefully disassembling the connection and inspecting the flare for damage.
If the flare is damaged or deformed, you should cut off the damaged section of tubing and create a new flare using a flaring tool. Before reassembling the connection, ensure the flare nut and mating surface are clean and free of debris.
After making a new flare, reattach the flare nut and mating surface, then tighten the connection properly to ensure a secure and leak-free seal. It is essential to perform these steps with precision to maintain the system's integrity and prevent future leaks.
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An organization sets its standards for quality according to the best product it can produce.
True
False
Answers
Answer:
True!! took the test
Explanation:
A garden hose attached with a nozzle is used to fill a 20-gallon bucket. The inner diameter of the hose is 1 inch and it reduces to 0.5 inch at the nozzle exit. If the average velocity in the hose is 8ft/s, determine
a) the volume and mass flow rates of water through the hose.
b) how long it will take to fill the bucket with water.
c) the average velocity of water at the nozzle exit.
Answers
Answer:
a). \($0.0436 \ ft^3/s$\) , \($2.72 \ lb \ m/s$\)
b). \($61.32 \ s$\)
c). 32. ft/s
Explanation:
a). The volume flow rate of the water is given by :
\($\dot V = uA$\)
\($=u \pi \left( \frac{d}{2}\right)^2$\)
\($=\frac{u \pi d^2}{4}$\)
\($=\frac{8\ ft/s \ \pi \left(\frac{1}{12}\right)^2}{4}$\)
\($= 0.0436 \ ft^3/s$\)
The mass flow rate of the water is given by :
\($\dot m = \rho \dot V$\)
\($= 62.4 \times 0.0436$\)
\($=2.72 \ lb \ m/s$\)
b). The time taken to fill the container is
\($\Delta t = \frac{V}{\dot V}$\)
\($=\frac{20 \ gal}{0.0436 \ ft^3/s}\left( \frac{1 \ ft^3}{7.4804 \ gal}\right)$\)
\($=61.32 \ s$\)
c). The average velocity at the nozzle is :
\($u=\frac{\dot V}{A}$\)
\($=\frac{\dot V}{\frac{\pi d^2}{4}}$\)
\($=\frac{0.0436}{\frac{\pi \left(\frac{0.5}{12}\right)^2}{4}}$\)
= 32. ft/s
What is the condition for maximum efficiency in a DC motor?
Answers
Answer:
The efficiency of a DC generator is maximum when those losses proportional to the square of the load current are equal to the constant losses of the DC generator. This relation applies equally well to all rotating machines, regardless of the type of machine.
Explanation:
The atmosphere is divided into different layers, each with a different function. The stratosphere contains the ozone (O3).
a) At what distance from earth is the so-called "ozone layer"? (2)
b) What is the function of the ozone layer? (2)
c) What is responsible for the depletion of the ozone layer? (2)
d) What are the various industrial processes are responsible for the depletion of the ozone layer?
Answers
Answer:
a) At about 15 to 35 km from the Earth
b) It helps to absorb most of the ultraviolet rays from the sun, that is otherwise too dangerous here on Earth.
c) The depletion of the ozone layer is due to free radical catalysts, like nitric oxide (NO), nitrous oxide (N2O), hydroxyl (OH), but majorly due to atomic chlorine (Cl), and atomic bromine (Br) finding their way up to the the ozone layer.
d) The refrigeration processes and the aerosol aligned industrial processes, are the major culprits.
Explanation:
a) The ozone layer is lies in the lower portion of the stratosphere, from an height of about 15 to 35 kilometers from the surface of the Earth.
b) The ozone layer contains a large portion of ozone, a molecule of oxygen containing three oxygen atom bonded together. This ozone is created at this level by the action of ultraviolet radiation on an ordinary oxygen molecule, splitting it into two oxygen atom. Each of this oxygen atom then proceed to combine with another ordinary oxygen molecule, to form an ozone molecule. The ozone at this layer absorbs a large portion of the ultraviolet radiation from the sun.
c) The depletion of the ozone layer is due to the presence of some radical, that are able to survive up to the level of the ozone layer. At this level, ultraviolet radiation causes these these radicals to dissociate to give free bromine and chlorine mostly. This chlorine and bromine molecules breaks down the ozone molecules.
d) The various industrial processes includes refrigeration, and the aerosol industries that majorly releases the chlorofluorocarbons (CFCs) and bromofluorocarbons, which are the main culprits of ozone depletion.
determine the application of star connected network
Answers
Answer:
fijixuc uckyc7fmtjjr hcumffjmfumfnng
Answer:
a method of connecting polyphrase circuits in which one end of each phase line is connected to a common neutral point that may be connected to the earth as protection against lightning or to a wire to which all the other neutral points of the system are connected
Explanation:
structural walls constructed with cold-formed steel use heavier gauge studs. these studs are at least ? and could be as much as ? .
Answers
Structural walls constructed with cold-formed steel use heavier gauge studs. These studs are at least 20 gauge and could be as much as 12 gauge.
Cold-formed steel is a popular choice for structural walls due to its strength and durability. Heavier gauge studs, ranging from at least 20 gauge to as much as 12 gauge, are used in these walls to provide added stability and support. The gauge of a stud refers to its thickness, with lower gauge numbers indicating thicker studs. Using thicker studs increases the load-bearing capacity of the wall, making it able to withstand heavier loads and providing a higher level of structural integrity. Additionally, thicker gauge studs also offer greater fire resistance and acoustic insulation, making them a versatile option for construction projects. As a result, cold-formed steel walls using heavier gauge studs are a popular choice in both residential and commercial building construction.
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An automobile travels along a straight road at 15.65 m/s through a 11.18 m/s speed zone. A police car observed the automobile. At the instant that the two vehicles are abreast of each other, the police car starts to pursue the automobile at a constant acceleration of 1.96 m/s2. The motorist noticed the police car in his rear view mirror 12 s after the police car started the pursuit and applied his brakes and decelerates at 3.05 m/s2. (Hint: The police will not go against the law.) a) Find the total time required for the police car to overtake the automobile. (12 marks) b) Find the total distance travelled by the police car while overtaking the automobile. (2 marks) c) Find the speed of the police car at the time it overtakes the automobile
Answers
Answer:
A.) Time = 17.13 seconds
B.) Distance = 31.9 m
C.) V = 11.18 m/s
D.) V = 7.1 m/s
Explanation:
The initial velocity U of the automobile is 15.65 m/s.
At the instant that the two vehicles are abreast of each other, the police car starts to pursue the automobile with initial velocity U = 0 at a constant acceleration of 1.96 m/s². Because the police is starting from rest.
For the automobile, let us use first equation of motion
V = U - at.
Acceleration a is negative since it is decelerating with a = 3.05 m/s² . And
V = 0.
Substitute U and a into the formula
0 = 15.65 - 3.05t
15.65 = 3.05t
t = 15.65/3.05
t = 5.13 seconds
But the motorist noticed the police car in his rear view mirror 12 s after the police car started the pursuit and applied his brakes and decelerates at 3.05 m/s².
The total time required for the police car to overtake the automobile will be
12 + 5.13 = 17.13 seconds.
b.) Using the third equation of motion formula for the police car at V = 11.18 m/s and a = 1.96 m/s²
V^2 = U^2 + 2aS
Where S = distance travelled.
Substitute V and a into the formula
11.18^2 = 0 + 2 × 1.96 ×S
124.99 = 3.92S
S = 124.99/3.92
S = 31.88 m
c.) The speed of the police car at the time it overtakes the automobile will be in line with the speed zone which is 11.18 m/s
d.) That will be the final velocity V of the automobile car.
We will use third equation of motion to solve that.
V^2 = U^2 + 2as
V^2 = 15.65^2 - 2 × 3.05 × 31.88
V^2 = 244.9225 - 194.468
V = sqrt( 50.4545)
V = 7.1 m/s
Chọn dữ liệu phù hợp và biểu diễn chúng dưới dạng biểu đồ, từ đó cho biết 3 yếu tố
mà người dùng xem xét nhiều nhất khi mua một chiếc tablet.
Answers
Answer:
Please explain it in English so that i can help you or you need someone who can speak Vietnam help you
-0-1"
-0
-20
-15
-10
0
-5
Answers
75743366
Explanation:
A 3-ft-diameter duct is used to carry ventilating air ( , ) into a vehicular tunnel at a rate of 11000 ft3/min. Tests show that the pressure drop is 1.2 in. of water per 1500 ft of duct. What is (a) the value of the friction factor for this duct and (b) the approximate size of the equivalent roughness of the surface of the duct
Answers
Answer:
a) Friction factor for this duct = 0.0239
b) ε = 0.006 ft
Explanation:
Given data :
Flow rate = 11000 ft^3 /min
Pressure drop = 1.2 in per 1500 ft of duct
a) Determine the value of the friction factor for this duct
Friction factor for this duct = 0.0239
b) Determine the approximate size of the equivalent roughness of the surface of the duct
ε = 0.006 ft
attached below is the detailed solution to the given problem
• What is the difference between OpenFlow and OpenStack?
• How many automated or 'smart' devices do you encounter in a single day?
Answers
(a). Here's the difference between OpenFlow and OpenStack.
OpenFlow is a communication protocol for SDN. It is a protocol that enables the configuration of routers and switches in a network by remote servers called controllers. OpenFlow allows network administrators to control and manage a network without making changes to the underlying infrastructure.OpenFlow focuses solely on the networking layer of SDN.On the other hand
OpenStack is a cloud computing platform that uses a modular approach to deliver Infrastructure-as-a-Service (IaaS). OpenStack provides a wide variety of services such as computing, storage, and network services, among others, that can be deployed in a cloud environment. OpenStack's modular architecture enables users to select the appropriate services for their specific needs, resulting in a highly customizable cloud environment.OpenStack is an entire cloud computing platform with multiple services such as computing, storage, and network services.(b). Automated or 'smart' devices that are encountered in a single day vary depending on the person and the environment. It is common to encounter smart devices such as smartphones, smartwatches, smart speakers, and smart TVs in a single day. However, other people may encounter other devices such as smart appliances, smart thermostats, smart locks, and more. The number of automated or smart devices that one may encounter in a single day varies depending on the individual and their environment.
What is OpenFlow?
OpenFlow is a communications protocol that enables the centralized control and management of network devices, such as switches and routers, in a software-defined networking (SDN) environment.
What is OpenStack?
OpenStack is an open-source cloud computing platform that provides a set of software tools and components for building and managing public and private clouds.
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You have a 12-inch PVC water main that is 850 feet long flowing at 5.6 cfs. Point A is at an elevation of 750 ft. Point B is at an elevation of 765 ft. If the pressure in a water main at Point A is 85 psi, what is the pressure at point B, in psi? (5 points)
Answers
Known :
D = 12 in = 1 ft
L = 850 ft
Q = 5.6 cfs
hA = 750 ft
hB = 765 ft
PA = 85 psi = 12240 lb/ft²
Solution :
A = πD² / 4 = π(1²) / 4
A = 0.785 ft²
Velocity of water :
U = Q / A = 5.6 / 0.785
U = 7.134 ft/s
Friction loss due to pipe length :
Re = UD / v = (7.134)(1) / (0.511 × 10^(-5))
Re = 1.4 × 10⁶
(From Moody Chart, We Get f = 0.015)
hf = f(L / d)(U² / 2g) = 0.015(850 / 1)((7.134²) / 2(32.2))
hf = 10 ft
PA + γhA = PB + γhB + γhf
PB = PA + γ(hA - hB - hf)
PB = 12240 + (62.4)(750 - 765 - 10)
PB = 10680 lb/ft²
PB = 74.167 psi
A hollow shaft and solid shaft constructed of the same material have the same length and same outer radius R .the inner radius of the hollow shaft is 0.8R.assuming that both shafts are subjected to the same torque, determine the ratios of their shear stresses, angles of twists,and weights.
Answers
The ratio of shear stresses in the hollow shaft to the solid shaft is 0.8. The ratio of twists is also 0.8. The weight ratio is 0.2.
The shear stress in a shaft is directly proportional to the applied torque and inversely proportional to the polar moment of inertia.
In the case of the hollow shaft, the polar moment of inertia is larger than that of the solid shaft due to the distribution of material away from the center.
Since both shafts experience the same torque, the ratio of their shear stresses is given by the ratio of their polar moments of inertia.
The polar moment of inertia of a hollow shaft is proportional to the difference between the outer and inner radii raised to the fourth power.
In this case, the hollow shaft has an inner radius of 0.8R and an outer radius of R, resulting in a ratio of (0.8^4) to 1^4, which simplifies to 0.4096.
The angle of twist is directly proportional to the applied torque and inversely proportional to the shear modulus and the polar moment of inertia.
Since the torque is the same for both shafts, the ratio of their angles of twist is determined solely by the ratio of their polar moments of inertia, yielding the same value of 0.4096.
The weight of a shaft is directly proportional to its volume, which is determined by its length and cross-sectional area.
Since both shafts have the same length and the same material, the ratio of their weights is equal to the ratio of their cross-sectional areas.
The cross-sectional area of a hollow shaft is given by π(R^2 - (0.8R)^2), while the cross-sectional area of a solid shaft is given by πR^2.
Simplifying this expression yields a ratio of 0.36.
In summary, the ratios of their shear stresses, angles of twists, and weights are approximately 0.4096, 0.4096, and 0.36, respectively.
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The main target of the diplexer is to enable the antenna to work at different frequencies. *
True
False
Answers
True is the answer.....
1. Describe the function of the Infrastru. cture Tracking unit, the processing ondt and the name unit?
Answers
Answer:
The IT function manages the entire information technology value chain within the organisation. It provides solutions with regard to the software and hardware IT infrastructure. We have a locally developed software which forms the frame work upon which our business rests.
Explanation:
hope it helps.
When installing a new wiper arm on a splined post, if it is installed in the wrong position, what can happen?
Answers
Answer:
It can break the windshield or hit the side.
Explanation: